One non-zero digit, one vowel and one consonant from English alphabet (in capital) are to be used in forming passwords, such that each password has to start with a vowel and end with a consonant. How many such passwords can be generated?

Correct Answer: (C) 945

Each 3-character password must consist of one vowel, one non-zero digit, and one consonant, starting with a vowel and ending with a consonant. Thus, the order of characters is strictly Vowel - Digit - Consonant. There are 5 uppercase English vowels (A, E, I, O, U), 9 non-zero digits (1 through 9), and 21 consonants ($26 - 5 = 21$). The total number of valid passwords is $5$$\times$ 9 $\times$ 21 = 945.